If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon have?
  • a)
    10 sides 
  • b)
    8 sides 
  • c)
    12 sides 
  • d)
    9 sides 
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

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Answers

RANA KRUNAL
Aug 15, 2019
The sum of an exterior angle and an interior angle of a polygon = 180o.
The sum of all the exterior angles of a polygon = 360o.
From the question stem: sum of all interior angles of the given polygon = 1440o.
Therefore, sum of all the interior and all exterior angles of the polygon = 1440 + 360 = 1800o.

The sum of an exterior angle and an interior angle of a polygon = 180o.The sum of all the exterior angles of a polygon = 360o.From the question stem: sum of all interior angles of the given polygon = 1440o.Therefore, sum of all the interior and all exterior angles of the polygon = 1440 + 360 = 1800o.
The sum of an exterior angle and an interior angle of a polygon = 180o.The sum of all the exterior angles of a polygon = 360o.From the question stem: sum of all interior angles of the given polygon = 1440o.Therefore, sum of all the interior and all exterior angles of the polygon = 1440 + 360 = 1800o.